Explorations in Algebra PDF Download

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Explorations in Algebra

Explorations in Algebra PDF Author:
Publisher: CRDG
ISBN: 1583510214
Category : Algebra
Languages : en
Pages : 238

Book Description
This book is a compatible instructional component to any algebra textbook and was developed by University of Hawaii under the Dwight D. Eisenhower Mathematics and Science Education Improvement Act. The tasks align with the content and instructional approach used in daily classes that emphasize standards-based teaching and learning. The tasks include problem solving, manipulatives, and open-ended questions that let students demonstrate their understanding in different ways. Each topic has multiple labs that can be used at points throughout related chapters giving students the opportunity to enhance their understanding of the concepts or to bridge concepts to skills. Some labs use manipulatives such as algebra tiles or graphing calculators. Each lab includes a problem solving experience. Chapters include: (1) "Problem Solving"; (2) "Real Numbers"; (3) "Algebraic Expressions"; (4) "Equations and Inequalities"; (5) "Graphing"; (6) "Systems of Equations and Inequalities"; (7) "Polynomials"; (8) "Products and Factors"; (9) "Quadratic Equations"; and (10) "Rational Expressions and Equations". (KHR).

Explorations in Algebra

Explorations in Algebra PDF Author:
Publisher: CRDG
ISBN: 1583510214
Category : Algebra
Languages : en
Pages : 238

Book Description
This book is a compatible instructional component to any algebra textbook and was developed by University of Hawaii under the Dwight D. Eisenhower Mathematics and Science Education Improvement Act. The tasks align with the content and instructional approach used in daily classes that emphasize standards-based teaching and learning. The tasks include problem solving, manipulatives, and open-ended questions that let students demonstrate their understanding in different ways. Each topic has multiple labs that can be used at points throughout related chapters giving students the opportunity to enhance their understanding of the concepts or to bridge concepts to skills. Some labs use manipulatives such as algebra tiles or graphing calculators. Each lab includes a problem solving experience. Chapters include: (1) "Problem Solving"; (2) "Real Numbers"; (3) "Algebraic Expressions"; (4) "Equations and Inequalities"; (5) "Graphing"; (6) "Systems of Equations and Inequalities"; (7) "Polynomials"; (8) "Products and Factors"; (9) "Quadratic Equations"; and (10) "Rational Expressions and Equations". (KHR).

Explorations in Mathematical Physics

Explorations in Mathematical Physics PDF Author: Don Koks
Publisher: Springer Science & Business Media
ISBN: 0387309438
Category : Science
Languages : en
Pages : 549

Book Description
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.

Explorations in College Algebra

Explorations in College Algebra PDF Author: Linda Almgren Kime
Publisher: Wiley
ISBN: 9780470466445
Category : Mathematics
Languages : en
Pages : 768

Book Description
Explorations in College Algebra, 5th Edition is designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach that motivates readers to grasp abstract ideas by solving real-world problems. The problems lie on a continuum from basic algebraic drills to open-ended, non-routine questions. The focus is shifted from learning a set of discrete mathematical rules to exploring how algebra is used in the social, physical, and life sciences. The goal of Explorations in College Algebra, 5th Edition is to prepare students for future advanced mathematics or other quantitatively based courses, while encouraging them to appreciate and use the power of algebra in answering questions about the world around us. Access to WileyPLUS sold separately.

Planting the Seeds of Algebra, PreK–2

Planting the Seeds of Algebra, PreK–2 PDF Author: Monica Neagoy
Publisher: Corwin Press
ISBN: 1412996600
Category : Education
Languages : en
Pages : 210

Book Description
The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...

Math Explorations with a Geoboard

Math Explorations with a Geoboard PDF Author: Charles Lund
Publisher:
ISBN: 9780970046024
Category : Mathematics
Languages : en
Pages : 185

Book Description
Reproducible resource book presents activities for students to gain hands-on experience with polygons and their properties, problem-solving puzzles and games, investigations, graphing, fractions, ratios, percents, and logical reasoning. Includes masters and selected answers and comments.

Graphic Algebra

Graphic Algebra PDF Author: Gary Asp
Publisher:
ISBN: 9781559532792
Category : Algebra
Languages : en
Pages : 0

Book Description
With engaging activities that students complete with graphing calculators or software, "Graphic Algebra" helps students develop new insights into algebra by providing easy-to-use lessons. (Education/Teaching)

Mathematical Explorations

Mathematical Explorations PDF Author: Alan F. Beardon
Publisher: Cambridge University Press
ISBN: 131661056X
Category : Mathematics
Languages : en
Pages : 129

Book Description
Provides readers with experience of working on difficult unsolved problems. No deep mathematical background is required.

Playing with Infinity

Playing with Infinity PDF Author: Rozsa Peter
Publisher:
ISBN: 9780844652351
Category :
Languages : en
Pages :

Book Description
Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Explorations of Mathematical Models in Biology with MATLAB

Explorations of Mathematical Models in Biology with MATLAB PDF Author: Mazen Shahin
Publisher: John Wiley & Sons
ISBN: 1118548531
Category : Science
Languages : en
Pages : 249

Book Description
Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.

Advanced Algebra with the TI-89

Advanced Algebra with the TI-89 PDF Author: Brendan Kelly
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997125
Category : Mathematics
Languages : en
Pages : 100

Book Description